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Finding the Fourth Proportional to 5,716.82, 7,889.10 and 3,164.52

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Solution

The fourth proportional to 5,716.82, 7,889.10 and 3,164.52 is: 4,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.82 : 7,889.10 = 3,164.52 : x
  2. Step 2: Convert to fraction form
    5,716.82/7,889.10 = 3,164.52/x
  3. Step 3: Cross multiply
    5,716.82x = 7,889.10 × 3,164.52
  4. Step 4: Simplify right side
    5,716.82x = 24,965,214.73
  5. Step 5: Solve for x
    x = 24,965,214.73/5,716.82
  6. Step 6: Final answer
    x = 4,366.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.